Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 36 and 108.

**Answer**

$36=({2}^{2})({3}^{2})$

$108=({2}^{2})({3}^{3})$

The LCM of 36 and 108 is the product of the largest powers of each prime factor in both.

Thus the LCM of 36 and 108

$=({2}^{2})({3}^{3})$

$=108$